20539759680 has 1008 divisors, whose sum is σ = 84109072320. Its totient is φ = 4762644480.

The previous prime is 20539759679. The next prime is 20539759699. The reversal of 20539759680 is 8695793502.

20539759680 is a `hidden beast` number, since 20 + 539 + 7 + 5 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348131491 + ... + 348131549.

It is an arithmetic number, because the mean of its divisors is an integer number (83441540).

Almost surely, 2^20539759680 is an apocalyptic number.

20539759680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20539759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054536160).

20539759680 is an abundant number, since it is smaller than the sum of its proper divisors (63569312640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20539759680 is a wasteful number, since it uses less digits than its factorization.

20539759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 20539759680 in words is "twenty billion, five hundred thirty-nine million, seven hundred fifty-nine thousand, six hundred eighty".